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Finding the Fourth Proportional to 255.81, 353.00 and 150.89

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Solution

The fourth proportional to 255.81, 353.00 and 150.89 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.81 : 353.00 = 150.89 : x
  2. Step 2: Convert to fraction form
    255.81/353.00 = 150.89/x
  3. Step 3: Cross multiply
    255.81x = 353.00 × 150.89
  4. Step 4: Simplify right side
    255.81x = 53,261.65
  5. Step 5: Solve for x
    x = 53,261.65/255.81
  6. Step 6: Final answer
    x = 208.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.